consider the graph of the function below.
a. identify the independent and dependent variables, and describe the domain and range.
b. describe the function in words.

a. the independent variable is the year and the dependent variable is the population.
the domain of the function is the years from the minimum value of 1950 to the maximum value of 2000.
the range of the function is the from the minimum value of billion to the maximum value of

Question

consider the graph of the function below.
a. identify the independent and dependent variables, and describe the domain and range.
b. describe the function in words.

a. the independent variable is the year and the dependent variable is the population.
the domain of the function is the years from the minimum value of 1950 to the maximum value of 2000.
the range of the function is the   from the minimum value of   billion to the maximum value of

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Independent and Dependent Variables", "Domain and Range" ], "new_concepts": [], "current_concepts": [ "Independent and Dependent Variables", "Domain and Range", "Graph Interpretation" ] } ## Identify variables Using the *Independent and Dependent Variables* knowledge point $$ \begin{aligned} &\text{Horizontal axis (x-axis)} = \text{Year (independent variable)}\ &\text{Vertical axis (y-axis)} = \text{World population in billions (dependent variable)} \end{aligned} $$ ## Determine domain Using the *Domain and Range* knowledge point $$ \begin{aligned} &\text{Domain units} = \text{years}\ &\text{Minimum } x\text{-value} = 1950\ &\text{Maximum } x\text{-value} = 2000 \end{aligned} $$ ## Determine range Using the *Domain and Range* knowledge point $$ \begin{aligned} &\text{Range units} = \text{populations}\ &\text{Minimum } y\text{-value at } x = 1950 \implies 2.2\text{ billion}\ &\text{Maximum } y\text{-value at } x = 2000 \implies 6.0\text{ billion} \end{aligned} $$ a. The independent variable is the year and the dependent variable is the population. The domain of the function is the years from the minimum value of 1950 to the maximum value of 2000. The range of the function is the populations from the minimum value of 2.2 billion to the maximum value of 6.0 billion. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Domain and Range" ] }

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Explanation:

Identify variables

Determine domain

Determine range

Answer: